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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B
# Folio 56, page id 00068192:0056
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percursa sit pars ipsius a aequadis
ipsi F, ergosper praecedentem), Apercur-
sa tempore C tripso ejus quo percursa
est aequadis ipsi si, erit cripsa ipsiuS.S,
Jam pars ipsius B percursa temporece
quadi ipsi =, est etiam aequasis ipsi si
Lex definitione motus uniformis) ergo
Crursus per praecedentem) B percursa-
tempore D quintupdo ejus quopercur
sa est aequadis ipsi F, erit quincupsa ip-
sius F, ergo erit et iam A ad B ut Z ad
h. quod si rationes sint incommensura
abiles, constat ex Fucaide reduci posse
ad commensurabires sic ut error minon
sit errore quovis dato; adeoque nul Lu
Uniuersaliter igitur vera propositio est.
Dropositio 6.
e
si spatia a quovis mobidis puncto=
percursa sint temporibus impensis pro
portionadia, mocus est uniformis.
sit enim punctum mobidis percurre
(23
tempore C. Lineam a, Stempore D Linea:
L. V sint tempora C 3D aequalia; Jam c
adD ut a ad L. ex HCypothesi, ergoetiam
Linea a 8 L. crunt aequa des proinde
aequa sibustemporibus aequalia spacia
percurruntur, quod est motum esse uniformem
propaditio
H-
De Mosi rrisioni
Definitio
resi
MOTr VAIZORML MOVESrA.
cujus quodlibet punctum aequalibus tempo-
ribus aequadia spatia describit.
sit mobidis punctum A percurrens.
tempore Y Lineam iA 2 A, e tempore V
jam
Lineam 3A 4 A; positis T _ V aequadibus,
Si reperiantur, a 2a Y 3 A 4 a esse aequades; id-
que  succedat in puncto mobidis quocunque;
motus dicetur uniformis; et contra, motu po
sito uniformi debet succedere.
propositio ja
In mocu uniformi si sparia à puncto mobidis
absoluta sint aequalia, erunt et tempora
impensa aequadia.
spatiis enim D GY de L aequatibus,
sint inaequadlia si fieri potest tempora
O D, et Q V, V tempus alterutrum ut O8.
sit majus; ergo ipsi OY aequadis erit ips
sius OP pars adiqua OS, qua durante
percursa est spatii D G pars adiqua
D F, et aequat tempore QV percursum
est spatium HL. ergo (ex Def. motus uni
formis) aequantur D J e HL; jam XL.
aequatur ipsi D G ex hypothesij ergo